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Stability Analysis of Digital Filters under Finite Word Length Effects via Normal-Form Transformation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ko, Hsien-Ju |
| Copyright Year | 2006 |
| Abstract | In this paper, a novel approach is proposed to analyze and minimize fixed-point arithmetic errors for digital filter implementations based on eigenvalue sensitivity measures. First, uncertainties of the filter-parameter caused by roundoff and computational errors are expressed in the function of register length for fixed-point implementations. Sequentially, based on a fixed-point statistical model and a normal-form transformation, a stability criterion of the dynamical filter model is derived to form a similarity transformation with a sufficient and necessary condition of the stability. Thus, the eigenvalue sensitivity measure with respect to filter parameters is constructed in the sense of induced 2-norm. This measure is minimized by an optimal similarity transformation (normal-form transformation) obtained from an analytically algebraic method. Based upon this transformation as well as the stability criterion, a minimum register length can be obtained. Finally, an example is performed to illustrate the effectiveness of the proposed scheme. |
| Starting Page | 112 |
| Ending Page | 121 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| Volume Number | 1 |
| Alternate Webpage(s) | http://www.researchgate.net/profile/Hsien-Ju_Ko/publication/228574088_Stability_Analysis_of_Digital_Filters_under_Finite_Word_Length_Effects_via_Normal-Form_Transformation/links/00b4952418b45a1725000000.pdf |
| Alternate Webpage(s) | https://doi.org/10.6412/AJHIS.200604.0112 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
